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# Is a^n > b^n?

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Director
Joined: 28 Jul 2011
Posts: 550
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 3

Kudos [?]: 238 [0], given: 16

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14 Dec 2011, 03:38
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:41) correct 33% (00:33) wrong based on 9 sessions

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Is a^n > b^n?

(1) a > b
(2) n is any positive quantity
[Reveal] Spoiler: OA

_________________

Intern
Joined: 12 Oct 2011
Posts: 20
Location: United States
GMAT 1: 720 Q50 V36
Followers: 0

Kudos [?]: 20 [1] , given: 5

Re: Is a^n > b^n? [#permalink]

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14 Dec 2011, 04:26
1
KUDOS
Quote:
I thought the answer is C, but the OA is E? How can it be,can anyone please explain?

lets say
a=2
b=1
n = 2
a^n = 4
b^n = 1
a^n>b^n

a = -1
b = -2
n = 2
a^n = 1
b^n = 4
here a^n < b^n

Do you see where you went wrong?
Retired Moderator
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Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
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Followers: 103

Kudos [?]: 992 [0], given: 109

Re: Is a^n > b^n? [#permalink]

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14 Dec 2011, 11:39
+1 E

Don't forget to consider the case when a and b are both negative.
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Director
Joined: 28 Jul 2011
Posts: 550
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 3

Kudos [?]: 238 [0], given: 16

Re: Is a^n > b^n? [#permalink]

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15 Dec 2011, 18:39
Thanks a lot Guys got it..............
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Re: Is a^n > b^n?   [#permalink] 15 Dec 2011, 18:39
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